Ruth has a street lamp in front of her house, represented by AB Her mom insists that at night she only play within its light in
AB 54, ZABD = 27', and ZDBC 4 1what is the length that Ruth has to play in if she plays between her friends house
(point D) and the edge of the lighted area (point C)? Round your answer to the nearest foot

Hunter designs two flags for his adventure club. what is the length of the base, x, of the larger flag? enter your answer, as a decimal, in the box.

Find the value of a. the diagram is not to scale. a quadrilateral is drawn. the upper and lower sides are parallel. the interior angle in the upper left corner is labeled a degrees. the angle in the upper right corner is labeled 113 degrees. the angle in the lower right corner is labeled b degrees. the angle in the lower left corner is labeled 36 degrees. a. 36 b. 144 c. 54 d. 126

The distance of a chord from the centre of a circle is 12cm and the lenght of the chord is 10cm. find the radius of the circle